how many solutions does the equation x+5.5+8+5x-13.5-4x

Answer:  y=2x+1

Step-by-step explanation:

Find the slope of the existing line by calculating a Rise/Run (the change in y for a change in x).  Pick any two points on the existing line.  I picked (-2,3) and (2,1).

Rise = 1-3 = -2

Run = 2-(-2)= 4

Rise/Run (slope) = -2/4 or -0.5

Although we don't need it, the equation for the existing line is y=-0.5x+b.  B is easy to find, since it is the value of y at x=0 (the y-intercept).  y=2 at x=0, so the existing line's equation is y=-0.5x+2

A line that is perpendicular to this line will have a slope that is the negative inverse of the reference line.  The negative inverse of -0.5 is -1/-0.5 or 2.  The new line will look like this:

y = 2x + b

To find b, use he given point (-2,-3) in the new equation and solve for b:

y = 2x + b

-3 = 2(-2) + b

b = 1

The equation of the line perpendicular to the reference line and going through (-2,-3) is

y = 2x +  1

See attached graph.

Answer:

8/50

Step-by-step explanation:

2/10 x 4/5 = 8/50

Hope that helps!

Answer:

\(8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\\)

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Fingerprinting is a technique used by forensic experts and crime scene investigators to identify individuals based on their unique fingerprints. Fingerprints are unique to each individual and have distinct ridge patterns that are used to identify individuals.

It is an effective way of identifying people because fingerprints remain the same throughout a person's life, unlike other physical characteristics.

When fingerprinting a person who is missing fingers, two notations that should be used on the fingerprint card are "amputation" and "absent." The notations on the fingerprint card should indicate that the fingers are missing due to amputation or absence.

Know more about Fingerprinting here:

https://brainly.com/question/3321996

#SPJ11

When fingerprinting a person missing fingers, the two notations that should be used on the fingerprint card are tented arch for a missing middle finger and amputation notation for a completely missing finger.

When fingerprinting a person who is missing fingers, two notations should be used on the fingerprint card:

https://brainly.com/question/34652657

#SPJ12

Step-by-step explanation:

the gradient of the line = 2 units/ 3 units = 2/3

Answer:

equation 1

y = -2x

equation 2

y = x-3

Solution to both

(1,-2)

Step-by-step explanation:

We need to get the equations of both lines

General form is;

y = mx + c

where m is slope and c is the y-intercept

Table 1

since we have a point 0,0; the y-intercept here is zero

Let us get the slope. We can do this by selecting any two points

m = (y2-y1)/(x2-x1)

m = (2-10)/(-1+5) = -8/4 = -2

So the equation of the first line is;

y = -2x

Table 2

we get the slope

m = (4+2)/(7-1) = 6/6 = 1

The partial equation is;

y = x + c

To get c, we select any two point and substitute

4 = 7 + c

c = 4-7

c = -3

So the equation is;

y = x-3

To get the solution to both systems, we equate the y

-2x = x - 3

-2x-x = -3

-3x = -3

x = -3/-3

x = 1

To get y, we substitute;

recall; y = -2x

y = -2(1)

y = -2

Solution to the system is;

(1,-2)

The y-intercept is the initial value of the investment is $400.

If an investment is compounded annually, it means that both the initial amount invested and the interest that is accrued increases in value once a year. The equation that is used to determine the future value of the investment that earns a compound interest is an exponential function.

The form of the exponential function is:

FV = P (1 + r)^nm

Where:

The y-intercept of an exponential function is the point where the graph touches the y-axis. It is the point where the value of x is zero. The y-intercept is the initial value of the investment. The initial value of the investment is $400.

To learn more about the y-intercept, please check: brainly.com/question/28644917

#SPJ1

If the current interest rate are 4. 25%, You can afford a car of price $36591.75

An interest rate is a fee that a lender assesses to a borrower; it is calculated as a percentage of the principal, or the loaned amount. The annual percentage rate, or APR, is typically used to express the interest rate on a loan (APR).

An interest rate may also apply to earnings from savings accounts or certificates of deposit at a bank or credit union (CD). Annual percentage yields are used to calculate the interest earned on these deposit accounts (APY).

S.I =  P*R*T/100  where:

S.I = Simple interest

R = Rate of interest

P = Principal/Amount

T = Time in years

∴ R = S.I*100/P*T

Given:

P = $325 per month

R = 4.25%

T = 9 years

∵ P is in month we multiply it by 12 = 325×12

                                                   ∴P = $3900

∴ S.I for 9 years = $1491.75

Now,

You can afford a car of expense

3900*9 + S.I = 35,100 + 1491.75

                    = $36591.75

To learn more about simple interest :

brainly.com/question/25845758

#SPJ4

Steps to solve:

4x + 1/3y^2 when x = 2 and y = 3

~Substitute

4(2) + 1/3(3)^2

~Simplify

8 + 1/3(9)

~Simplify

8 + 3

~Add

11

Best of Luck!

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

\(\frac{x}{x+4}+ \frac{12}{x^2} +5x+4 = \frac{8x}{5x-15}\)

\(12/(x^2+5x+4) = 8x/(5x-15)\)

\(\frac{12}{((x+1)(x+4))} = \frac{8x}{(5(x-3))}\)

\(\\ \tt\hookrightarrow \dfrac{x}{x+4}+\dfrac{12}{x^2+5x+4}=\dfrac{8x}{5x-15}\)

\(\\ \tt\hookrightarrow \dfrac{x}{x+4}+\dfrac{12}{(x+1)(x+4)}=\dfrac{8x}{5(x-3)}\)

So Domain=(-4,-1,3)

Answer:

60°

Step-by-step explanation:

90° = 6x

15° = x

60° = 4x

Answer:

60

Step-by-step explanation:

We know that LMO = 90

2x+4x = 90

6x = 90

Divide by 6

6x/6 = 90/6

x = 15

We want to find LMN = 4x = 4*15 = 60

Answer: C) 8.1 x 105

The following is the expected value of a number of books a student buys at the next book fair is 2.404 books.

The random variable b's expected value is then calculated as follows:

E(X) = 1 x 0.285 + 2 x 0.333 + 3 x 0.168 + 4 x 0.136 + 5 x 0.063 + 6 x 0.015 E(X)  = 2.404 books.

Thus, the expected value of discrete probability distribution is 2.404 books.

To know more about the discrete probability distribution , here

https://brainly.com/question/28197859

#SPJ4

The graph for the question is attached.

40,000 is 10 times as much as 4,000.

First, let us know about place value:

Place value is the value provided by a digit in a number based on its place in the number. For example, 5 hundred or 500 is the place value of 5 in 4,524. The place value of 8 in 8,359 is, nevertheless, 8 thousand or 8,000.

Also, let us understand about patterns;

A pattern in mathematics is a recurring arrangement of numbers, forms, colors, and so on. The Pattern can be associated with any kind of event or object. A pattern is defined as a set of integers that are related to one another in a specified way. Patterns are sometimes referred to as sequences.

Now,

Let the number be x.

So,

x * 10 = 40,000

x = 40,000/10

x = 4,000

So, the required number is x.

Thus, 40,000 is 10 times as much as 4,000.

To learn more about place value visit:

https://brainly.com/question/27734142

#SPJ9

2 is the answer of the question

The midpoint \(m\) of \(\overline{ab}\) has coordinates

\(\left(\dfrac{(t-4) + (-2)}2, \dfrac{-1 + (t+3)}2\right) = \left(\dfrac{t-6}2, \dfrac{t+2}2\right)\)

The distance from \(m\) to \(a\) is

\(\sqrt{\left((t-4) - \dfrac{t-6}2\right)^2 + \left(-1 - \dfrac{t+2}2\right)^2} = \sqrt{\left(\dfrac{t-2}2\right)^2 + \left(-\dfrac{t+4}2\right)^2} = \sqrt{\dfrac{t^2}2+t+5}\)

If this is equal to \(\frac{t^2}2\), then we solve for \(t\).

\(\sqrt{\dfrac{t^2}2 + t + 5} = \dfrac{t^2}2\)

\(\left(\sqrt{\dfrac{t^2}2 + t + 5}\right)^2 = \left(\dfrac{t^2}2\right)^2\)

\(\dfrac{t^2}2 + t + 5 = \dfrac{t^4}4\)

\(\dfrac{t^4}4 - \dfrac{t^2}2 - t - 5 = 0\)

\(t^4 - 2t^2 - 4t - 20 = 0\)

Use a calculator to solve the quartic; there are two real solutions for \(t\) at \(t\approx-2.13\) and \(t\approx2.57\).

Answer:

x = 3

y = -1

Step-by-step explanation:

→You can use the elimination method. To do this you must have either the x or y-values have the same value, but opposite signs. For this, we can choose y:

4x + 2y = 10

5x + 3y = 12

→Multiply (4x + 2y = 10) by -3, and (5x + 3y = 12) by 2:

-12x - 6y = -30

10x + 6y = 24

____________

-2x = -6

→Divide both sides by -2:

x = 3

→Plug in 3 for x into an equation:

4x + 2y = 10

4(3) + 2y = 10

12 + 2y = 10

2y = -2

y = -1

El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

Obtenga más información sobre el modelo matemático en

https://brainly.com/question/30517381

#SPJ1

The source of bias in the survey embarked upon would stem from that 'many people refuse to respond to telephone surveys.'

The behaviour whereby people refuse to respond to telephone surveys is called non-response bias. It can occur for a variety of reasons, such as people being too busy, not interested in the survey, or not trusting the surveyor. Non-response bias can lead to the survey results being inaccurate, as the people who do respond may not be representative of the population as a whole.

Therefore , the presence of bias would likely stem from the fact that "many people refuse to respond to telephone surveys."

Learn more on bias: https://brainly.com/question/24491228

#SPJ4

In order to prove that ∠MPQ is congruent to ∠MLN, she requires that PQ and LN should be parallel.

What are parallel lines?

When two lines in a plane do not cross at any point, they are said to be parallel. Lines that never cross paths with one another and do not have a common junction point are said to be parallel. They are equally spaced apart and have the same incline.

We know that corresponding angles of parallel lines are equal.

As shown in the figure, ∠MPQ and ∠MLN are corresponding angles.

So, if she is provided that PQ and LN are parallel, then, she can prove that ∠MPQ is congruent to ∠MLN and thus, the triangles are similar.

Hence, she requires that PQ and LN should be parallel.

Learn more about parallel lines from the given link

https://brainly.com/question/30287143

#SPJ1

If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.

The United States has roughly 220 million cars for 300 million people. That equates to approximately 73% of all Americans owning a car. China currently has 32 million cars for 1.3 billion people. If China suddenly had the same amount of car ownership as America, they would have approximately 947 million cars.To calculate the number of cars China would have if they suddenly had the same amount of car ownership as America, we can use the following formula: 220 million / 300 million

= x / 1.3 billion We can then cross-multiply to solve for x:300 million * x

= 1.3 billion * 220 million x

= (1.3 billion * 220 million) / 300 million x

= 947 million. If China had the same amount of car ownership as America, they would have approximately 947 million cars. This is a significant increase from their current number of 32 million cars.

To know more about ownership visit:

https://brainly.com/question/31889760

#SPJ11

Answer:

your answer i think is 2/3 sorry if i'm wrong

Step-by-step explanation:

Step-by-step explanation:

\(\frac{9}{12} =\frac{15}{x+15}\)

\(\frac{3}{4} =\frac{15}{x+15}\)

3(x+15)=60

3x+45=60

3x=15

\(\frac{3x}{3} =\frac{15}{3}\\\)

\(x = 5\\\)

or..

\(\frac{9}{12} =\frac{15}{y}\)

\(\frac{3}{4} =\frac{15}{y} \\3y=60\\\frac{3y}{3} =\frac{60}{3} \\y = 20\)

Answer:

0, 5.5

Step-by-step explanation:

when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)

so THE ANSWER IS  (0, 5.5)

PLZ MARK ME AS BRAINLIEST.

The relationship is non-existent and positive about the plot in terms of the relationships between the two variables.

A scatter plot is a graph that compares two different sets of data by plotting them as points on a graph. A scatter plot is utilized to investigate the degree of correlation between two different data sets. The points' placement on a scatter plot implies a correlation between the two data sets that can be classified as positive, negative, or non-existent.

The following statements are true about the plot in terms of the relationships between the two variables:There is no association between music and living spaces.Therefore, the answer is: non-existent.The majority of students who play an instrument live off-campus.Therefore, the answer is: Positive.There is no association between the Northside and playing an instrument.Therefore, the answer is: Non-existent.

More on scatter plot: https://brainly.com/question/13984412

#SPJ11

To show that H, the set of all even numbers, is a cyclic group, we need to find a generator that can create all even numbers using addition. The additive group H1 is cyclic, and its generator is 15.

For the first part, to show that the additive group H (the set of all even numbers) is cyclic, we need to find an element that generates the entire group. One such element is 2, as every even number can be written as a multiple of 2. Therefore, the generator of H is 2.

For the second part, to show that the additive group H1 = {30n + 45m | n, m € Z} is cyclic, we need to find an element that generates the entire group. We can simplify the expression as H1 = {15(2n + 3m) | n, m € Z}. Since every integer can be written as a linear combination of 2 and 3, we can choose 15 as the generator of H1. This is because every element in H1 can be written as a multiple of 15, i.e., H1 = {15k | k € Z}, and 15 generates the entire group. Therefore, the generator of H1 is 15.

1. To show that H, the set of all even numbers, is a cyclic group, we need to find a generator that can create all even numbers using addition.

Let's consider the number 2 as a potential generator. Since any even number can be expressed as 2 times an integer (2n, where n is an integer), it's clear that adding 2 to itself repeatedly will generate all even numbers. Therefore, the additive group H is cyclic, and its generator is 2.

2. For H1 = {30n + 45m | n, m ∈ Z}, we need to show that this additive group is cyclic and find its generator.

First, let's find the greatest common divisor (GCD) of 30 and 45, as it will help us determine if there's a single generator for this group. The GCD(30, 45) = 15.

Now, let's consider the number 15 as a potential generator. Since any element in H1 can be expressed as a linear combination of 30n and 45m with integer coefficients n and m, and the GCD(30, 45) = 15, we can generate any element in H1 by repeatedly adding 15 to itself.

Therefore, the additive group H1 is cyclic, and its generator is 15.

Learn more about integer at: brainly.com/question/15276410

#SPJ11

Answer:

alam nio ba filipino talaga ako hahahah

May you please take a Pic of the question

Step-by-step explanation:

Thank you